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Embedding of baumslag-solitar groups into the generalized Baumslag-Solitar groups

✍ Scribed by Dudkin, F. A.


Book ID
121539684
Publisher
SP MAIK Nauka/Interperiodica
Year
2014
Tongue
English
Weight
158 KB
Volume
55
Category
Article
ISSN
0037-4466

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📜 SIMILAR VOLUMES


Three-manifolds and Baumslag–Solitar gro
✍ Peter B. Shalen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 63 KB

We show that the Baumslag-Solitar relation x n = yx m y -1 cannot hold in a nondegenerate way in the fundamental group of an orientable 3-manifold. This generalizes a result proved by Jaco and Shalen for the case of a Haken manifold. The generalization uses the general version of the Torus Theorem,